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Tour of regular temperaments: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2014-05-01 10:17:34 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2014-05-01 10:18:57 UTC</tt>.<br>
: The original revision id was <tt>505791420</tt>.<br>
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The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
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The 7-limit rank three microtemperament which tempers out the ragisma, 4375/4374, extends to various higher limit rank three temperaments such as thor.
The 7-limit rank three microtemperament which tempers out the ragisma, 4375/4374, extends to various higher limit rank three temperaments such as thor.


==[[Landscape family]]==
===[[Landscape family]]===
The 7-limit rank three microtemperament which tempers out the lanscape comma, 250047/250000, extends to various higher limit rank three temperaments such as tyr and odin.
The 7-limit rank three microtemperament which tempers out the lanscape comma, 250047/250000, extends to various higher limit rank three temperaments such as tyr and odin.


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  The 7-limit rank three microtemperament which tempers out the ragisma, 4375/4374, extends to various higher limit rank three temperaments such as thor.&lt;br /&gt;
  The 7-limit rank three microtemperament which tempers out the ragisma, 4375/4374, extends to various higher limit rank three temperaments such as thor.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:162:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc81"&gt;&lt;a name="Rank 3 temperaments-Landscape family"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:162 --&gt;&lt;a class="wiki_link" href="/Landscape%20family"&gt;Landscape family&lt;/a&gt;&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:162:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc81"&gt;&lt;a name="Rank 3 temperaments--Landscape family"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:162 --&gt;&lt;a class="wiki_link" href="/Landscape%20family"&gt;Landscape family&lt;/a&gt;&lt;/h3&gt;
The 7-limit rank three microtemperament which tempers out the lanscape comma, 250047/250000, extends to various higher limit rank three temperaments such as tyr and odin.&lt;br /&gt;
The 7-limit rank three microtemperament which tempers out the lanscape comma, 250047/250000, extends to various higher limit rank three temperaments such as tyr and odin.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:164:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc82"&gt;&lt;a name="Rank 3 temperaments-Landscape family-Hemifamity family"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:164 --&gt;&lt;a class="wiki_link" href="/Hemifamity%20family"&gt;Hemifamity family&lt;/a&gt;&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:164:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc82"&gt;&lt;a name="Rank 3 temperaments--Hemifamity family"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:164 --&gt;&lt;a class="wiki_link" href="/Hemifamity%20family"&gt;Hemifamity family&lt;/a&gt;&lt;/h3&gt;
  The hemifamity family of rank three temperaments tempers out the hemifamity comma, 5120/5103.&lt;br /&gt;
  The hemifamity family of rank three temperaments tempers out the hemifamity comma, 5120/5103.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:166:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc83"&gt;&lt;a name="Rank 3 temperaments-Landscape family-Porwell family"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:166 --&gt;&lt;a class="wiki_link" href="/Porwell%20family"&gt;Porwell family&lt;/a&gt;&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:166:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc83"&gt;&lt;a name="Rank 3 temperaments--Porwell family"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:166 --&gt;&lt;a class="wiki_link" href="/Porwell%20family"&gt;Porwell family&lt;/a&gt;&lt;/h3&gt;
  The porwell family of rank three temperaments tempers out the porwell comma, 6144/6125.&lt;br /&gt;
  The porwell family of rank three temperaments tempers out the porwell comma, 6144/6125.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:168:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc84"&gt;&lt;a name="Rank 3 temperaments-Landscape family-Horwell family"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:168 --&gt;&lt;a class="wiki_link" href="/Horwell%20family"&gt;Horwell family&lt;/a&gt;&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:168:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc84"&gt;&lt;a name="Rank 3 temperaments--Horwell family"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:168 --&gt;&lt;a class="wiki_link" href="/Horwell%20family"&gt;Horwell family&lt;/a&gt;&lt;/h3&gt;
  The horwell family of rank three temperaments tempers out the horwell comma, 65625/65536.&lt;br /&gt;
  The horwell family of rank three temperaments tempers out the horwell comma, 65625/65536.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:170:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc85"&gt;&lt;a name="Rank 3 temperaments-Landscape family-Hemimage family"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:170 --&gt;&lt;a class="wiki_link" href="/Hemimage%20family"&gt;Hemimage family&lt;/a&gt;&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:170:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc85"&gt;&lt;a name="Rank 3 temperaments--Hemimage family"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:170 --&gt;&lt;a class="wiki_link" href="/Hemimage%20family"&gt;Hemimage family&lt;/a&gt;&lt;/h3&gt;
  The hemimage family of rank three temperaments tempers out the hemimage comma, 10976/10935.&lt;br /&gt;
  The hemimage family of rank three temperaments tempers out the hemimage comma, 10976/10935.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:172:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc86"&gt;&lt;a name="Rank 3 temperaments-Landscape family-Sensamagic family"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:172 --&gt;&lt;a class="wiki_link" href="/Sensamagic%20family"&gt;Sensamagic family&lt;/a&gt;&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:172:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc86"&gt;&lt;a name="Rank 3 temperaments--Sensamagic family"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:172 --&gt;&lt;a class="wiki_link" href="/Sensamagic%20family"&gt;Sensamagic family&lt;/a&gt;&lt;/h3&gt;
  These temper out 245/243.&lt;br /&gt;
  These temper out 245/243.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:174:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc87"&gt;&lt;a name="Rank 3 temperaments-Landscape family-Keemic family"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:174 --&gt;&lt;a class="wiki_link" href="/Keemic%20family"&gt;Keemic family&lt;/a&gt;&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:174:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc87"&gt;&lt;a name="Rank 3 temperaments--Keemic family"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:174 --&gt;&lt;a class="wiki_link" href="/Keemic%20family"&gt;Keemic family&lt;/a&gt;&lt;/h3&gt;
  These temper out 875/864.&lt;br /&gt;
  These temper out 875/864.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:176:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc88"&gt;&lt;a name="Rank 3 temperaments-Landscape family-Sengic family"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:176 --&gt;&lt;a class="wiki_link" href="/Sengic%20family"&gt;Sengic family&lt;/a&gt;&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:176:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc88"&gt;&lt;a name="Rank 3 temperaments--Sengic family"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:176 --&gt;&lt;a class="wiki_link" href="/Sengic%20family"&gt;Sengic family&lt;/a&gt;&lt;/h3&gt;
  These temper out the senga, 686/675.&lt;br /&gt;
  These temper out the senga, 686/675.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:178:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc89"&gt;&lt;a name="Rank 3 temperaments-Landscape family-Orwellismic family"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:178 --&gt;&lt;a class="wiki_link" href="/Orwellismic%20family"&gt;Orwellismic family&lt;/a&gt;&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:178:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc89"&gt;&lt;a name="Rank 3 temperaments--Orwellismic family"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:178 --&gt;&lt;a class="wiki_link" href="/Orwellismic%20family"&gt;Orwellismic family&lt;/a&gt;&lt;/h3&gt;
  These temper out 1728/1715.&lt;br /&gt;
  These temper out 1728/1715.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:180:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc90"&gt;&lt;a name="Rank 3 temperaments-Landscape family-Nuwell family"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:180 --&gt;&lt;a class="wiki_link" href="/Nuwell%20family"&gt;Nuwell family&lt;/a&gt;&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:180:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc90"&gt;&lt;a name="Rank 3 temperaments--Nuwell family"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:180 --&gt;&lt;a class="wiki_link" href="/Nuwell%20family"&gt;Nuwell family&lt;/a&gt;&lt;/h3&gt;
  These temper out the nuwell comma, 2430/2401.&lt;br /&gt;
  These temper out the nuwell comma, 2430/2401.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:182:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc91"&gt;&lt;a name="Rank 3 temperaments-Landscape family-Octagar family"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:182 --&gt;&lt;a class="wiki_link" href="/Octagar%20family"&gt;Octagar family&lt;/a&gt;&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:182:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc91"&gt;&lt;a name="Rank 3 temperaments--Octagar family"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:182 --&gt;&lt;a class="wiki_link" href="/Octagar%20family"&gt;Octagar family&lt;/a&gt;&lt;/h3&gt;
  The octagar family of rank three temperaments tempers out the octagar comma, 4000/3969.&lt;br /&gt;
  The octagar family of rank three temperaments tempers out the octagar comma, 4000/3969.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:184:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc92"&gt;&lt;a name="Rank 3 temperaments-Landscape family-Mirkwai family"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:184 --&gt;&lt;a class="wiki_link" href="/Mirkwai%20family"&gt;Mirkwai family&lt;/a&gt;&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:184:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc92"&gt;&lt;a name="Rank 3 temperaments--Mirkwai family"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:184 --&gt;&lt;a class="wiki_link" href="/Mirkwai%20family"&gt;Mirkwai family&lt;/a&gt;&lt;/h3&gt;
  The mirkwai family of rank three temperaments tempers out the mirkwai comma, 16875/16807.&lt;br /&gt;
  The mirkwai family of rank three temperaments tempers out the mirkwai comma, 16875/16807.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:186:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc93"&gt;&lt;a name="Rank 3 temperaments-Landscape family-Hemimean family"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:186 --&gt;&lt;a class="wiki_link" href="/Hemimean%20family"&gt;Hemimean family&lt;/a&gt;&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:186:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc93"&gt;&lt;a name="Rank 3 temperaments--Hemimean family"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:186 --&gt;&lt;a class="wiki_link" href="/Hemimean%20family"&gt;Hemimean family&lt;/a&gt;&lt;/h3&gt;
  The hemimean family of rank three temperaments tempers out the hemimean comma, 3136/3125.&lt;br /&gt;
  The hemimean family of rank three temperaments tempers out the hemimean comma, 3136/3125.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:188:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc94"&gt;&lt;a name="Rank 3 temperaments-Landscape family-Mirwomo family"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:188 --&gt;&lt;a class="wiki_link" href="/Mirwomo%20family"&gt;Mirwomo family&lt;/a&gt;&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:188:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc94"&gt;&lt;a name="Rank 3 temperaments--Mirwomo family"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:188 --&gt;&lt;a class="wiki_link" href="/Mirwomo%20family"&gt;Mirwomo family&lt;/a&gt;&lt;/h3&gt;
  The mirwomo family of rank three temperaments tempers out the mirwomo comma, 33075/32768.&lt;br /&gt;
  The mirwomo family of rank three temperaments tempers out the mirwomo comma, 33075/32768.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:190:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc95"&gt;&lt;a name="Rank 3 temperaments-Landscape family-Dimcomp family"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:190 --&gt;&lt;a class="wiki_link" href="/Dimcomp%20family"&gt;Dimcomp family&lt;/a&gt;&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:190:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc95"&gt;&lt;a name="Rank 3 temperaments--Dimcomp family"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:190 --&gt;&lt;a class="wiki_link" href="/Dimcomp%20family"&gt;Dimcomp family&lt;/a&gt;&lt;/h3&gt;
  The dimcomp family of rank three temperaments tempers out the dimcomp comma, 390625/388962.&lt;br /&gt;
  The dimcomp family of rank three temperaments tempers out the dimcomp comma, 390625/388962.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:192:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc96"&gt;&lt;a name="Rank 3 temperaments-Landscape family-Tolermic family"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:192 --&gt;&lt;a class="wiki_link" href="/Tolermic%20family"&gt;Tolermic family&lt;/a&gt;&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:192:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc96"&gt;&lt;a name="Rank 3 temperaments--Tolermic family"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:192 --&gt;&lt;a class="wiki_link" href="/Tolermic%20family"&gt;Tolermic family&lt;/a&gt;&lt;/h3&gt;
  These temper out the tolerma, 179200/177147.&lt;br /&gt;
  These temper out the tolerma, 179200/177147.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:194:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc97"&gt;&lt;a name="Rank 3 temperaments-Landscape family-Kleismic rank three family"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:194 --&gt;&lt;a class="wiki_link" href="/Kleismic%20rank%20three%20family"&gt;Kleismic rank three family&lt;/a&gt;&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:194:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc97"&gt;&lt;a name="Rank 3 temperaments--Kleismic rank three family"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:194 --&gt;&lt;a class="wiki_link" href="/Kleismic%20rank%20three%20family"&gt;Kleismic rank three family&lt;/a&gt;&lt;/h3&gt;
  These are the rank three temperaments tempering out the kleisma, 15625/15552. If nothing else is tempered out we have a 7-limit planar temperament, with an 11-limit comma we get an 11-limit temperament, and so forth.&lt;br /&gt;
  These are the rank three temperaments tempering out the kleisma, 15625/15552. If nothing else is tempered out we have a 7-limit planar temperament, with an 11-limit comma we get an 11-limit temperament, and so forth.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:196:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc98"&gt;&lt;a name="Rank 3 temperaments-Landscape family-Diaschismic rank three family"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:196 --&gt;&lt;a class="wiki_link" href="/Diaschismic%20rank%20three%20family"&gt;Diaschismic rank three family&lt;/a&gt;&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:196:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc98"&gt;&lt;a name="Rank 3 temperaments--Diaschismic rank three family"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:196 --&gt;&lt;a class="wiki_link" href="/Diaschismic%20rank%20three%20family"&gt;Diaschismic rank three family&lt;/a&gt;&lt;/h3&gt;
  These are the rank three temperaments tempering out the dischisma, 2048/2025. If nothing else is tempered out we have a 7-limit planar temperament, with an 11-limit comma we get an 11-limit temperament, and so forth.&lt;br /&gt;
  These are the rank three temperaments tempering out the dischisma, 2048/2025. If nothing else is tempered out we have a 7-limit planar temperament, with an 11-limit comma we get an 11-limit temperament, and so forth.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:198:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc99"&gt;&lt;a name="Rank 3 temperaments-Landscape family-Didymus rank three family"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:198 --&gt;&lt;a class="wiki_link" href="/Didymus%20rank%20three%20family"&gt;Didymus rank three family&lt;/a&gt;&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:198:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc99"&gt;&lt;a name="Rank 3 temperaments--Didymus rank three family"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:198 --&gt;&lt;a class="wiki_link" href="/Didymus%20rank%20three%20family"&gt;Didymus rank three family&lt;/a&gt;&lt;/h3&gt;
  These are the rank three temperaments tempering out the didymus comma, 81/80. If nothing else is tempered out we have a 7-limit planar temperament, with an 11-limit comma we get an 11-limit temperament, and so forth.&lt;br /&gt;
  These are the rank three temperaments tempering out the didymus comma, 81/80. If nothing else is tempered out we have a 7-limit planar temperament, with an 11-limit comma we get an 11-limit temperament, and so forth.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:200:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc100"&gt;&lt;a name="Rank 3 temperaments-Landscape family-Porcupine rank three family"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:200 --&gt;&lt;a class="wiki_link" href="/Porcupine%20rank%20three%20family"&gt;Porcupine rank three family&lt;/a&gt;&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:200:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc100"&gt;&lt;a name="Rank 3 temperaments--Porcupine rank three family"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:200 --&gt;&lt;a class="wiki_link" href="/Porcupine%20rank%20three%20family"&gt;Porcupine rank three family&lt;/a&gt;&lt;/h3&gt;
  These are the rank three temperaments tempering out the porcupine comma or maximal diesis, 250/243.If nothing else is tempered out we have a 7-limit planar temperament, with an 11-limit comma we get an 11-limit temperament, and so forth.&lt;br /&gt;
  These are the rank three temperaments tempering out the porcupine comma or maximal diesis, 250/243.If nothing else is tempered out we have a 7-limit planar temperament, with an 11-limit comma we get an 11-limit temperament, and so forth.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:202:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc101"&gt;&lt;a name="Rank 3 temperaments-Landscape family-Archytas family"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:202 --&gt;&lt;a class="wiki_link" href="/Archytas%20family"&gt;Archytas family&lt;/a&gt;&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:202:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc101"&gt;&lt;a name="Rank 3 temperaments--Archytas family"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:202 --&gt;&lt;a class="wiki_link" href="/Archytas%20family"&gt;Archytas family&lt;/a&gt;&lt;/h3&gt;
  Archytas temperament tempers out 64/63, and thereby identifies the otonal tetrad with the dominant seventh chord.&lt;br /&gt;
  Archytas temperament tempers out 64/63, and thereby identifies the otonal tetrad with the dominant seventh chord.&lt;br /&gt;
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&lt;!-- ws:start:WikiTextHeadingRule:204:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc102"&gt;&lt;a name="Rank 3 temperaments-Landscape family-Jubilismic family"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:204 --&gt;&lt;a class="wiki_link" href="/Jubilismic%20family"&gt;Jubilismic family&lt;/a&gt;&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:204:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc102"&gt;&lt;a name="Rank 3 temperaments--Jubilismic family"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:204 --&gt;&lt;a class="wiki_link" href="/Jubilismic%20family"&gt;Jubilismic family&lt;/a&gt;&lt;/h3&gt;
  Jubilismic temperament tempers out 50/49 and thereby identifies the two septimal tritones, 7/5 and 10/7.&lt;br /&gt;
  Jubilismic temperament tempers out 50/49 and thereby identifies the two septimal tritones, 7/5 and 10/7.&lt;br /&gt;
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&lt;!-- ws:start:WikiTextHeadingRule:206:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc103"&gt;&lt;a name="Rank 3 temperaments-Landscape family-Semiphore family"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:206 --&gt;&lt;a class="wiki_link" href="/Semiphore%20family"&gt;Semiphore family&lt;/a&gt;&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:206:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc103"&gt;&lt;a name="Rank 3 temperaments--Semiphore family"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:206 --&gt;&lt;a class="wiki_link" href="/Semiphore%20family"&gt;Semiphore family&lt;/a&gt;&lt;/h3&gt;
  Semiphore temperament tempers out 49/48 and thereby identifies the septimal minor third, 7/6 and the septimal whole tone, 8/7. It also splits the fourth into two of these intervals; hence the name, which sounds like &amp;quot;semi-fourth&amp;quot;.&lt;br /&gt;
  Semiphore temperament tempers out 49/48 and thereby identifies the septimal minor third, 7/6 and the septimal whole tone, 8/7. It also splits the fourth into two of these intervals; hence the name, which sounds like &amp;quot;semi-fourth&amp;quot;.&lt;br /&gt;
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&lt;!-- ws:start:WikiTextHeadingRule:208:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc104"&gt;&lt;a name="Rank 3 temperaments-Landscape family-Mint family"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:208 --&gt;&lt;a class="wiki_link" href="/Mint%20family"&gt;Mint family&lt;/a&gt;&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:208:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc104"&gt;&lt;a name="Rank 3 temperaments--Mint family"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:208 --&gt;&lt;a class="wiki_link" href="/Mint%20family"&gt;Mint family&lt;/a&gt;&lt;/h3&gt;
  The mint temperament tempers out 36/35, identifying both 7/6 with 6/5 and 5/4 with 9/7.&lt;br /&gt;
  The mint temperament tempers out 36/35, identifying both 7/6 with 6/5 and 5/4 with 9/7.&lt;br /&gt;
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&lt;!-- ws:start:WikiTextHeadingRule:210:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc105"&gt;&lt;a name="Rank 3 temperaments-Landscape family-Valinorismic temperaments"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:210 --&gt;&lt;a class="wiki_link" href="/Valinorismic%20temperaments"&gt;Valinorismic temperaments&lt;/a&gt;&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:210:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc105"&gt;&lt;a name="Rank 3 temperaments--Valinorismic temperaments"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:210 --&gt;&lt;a class="wiki_link" href="/Valinorismic%20temperaments"&gt;Valinorismic temperaments&lt;/a&gt;&lt;/h3&gt;
  These temper out the valinorsma, 176/175.&lt;br /&gt;
  These temper out the valinorsma, 176/175.&lt;br /&gt;
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&lt;!-- ws:start:WikiTextHeadingRule:212:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc106"&gt;&lt;a name="Rank 3 temperaments-Landscape family-Werckismic temperaments"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:212 --&gt;&lt;a class="wiki_link" href="/Werckismic%20temperaments"&gt;Werckismic temperaments&lt;/a&gt;&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:212:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc106"&gt;&lt;a name="Rank 3 temperaments--Werckismic temperaments"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:212 --&gt;&lt;a class="wiki_link" href="/Werckismic%20temperaments"&gt;Werckismic temperaments&lt;/a&gt;&lt;/h3&gt;
  These temper out the werckisma, 441/440.&lt;br /&gt;
  These temper out the werckisma, 441/440.&lt;br /&gt;
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&lt;!-- ws:start:WikiTextHeadingRule:214:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc107"&gt;&lt;a name="Rank 3 temperaments-Landscape family-Swetismic temperaments"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:214 --&gt;&lt;a class="wiki_link" href="/Swetismic%20temperaments"&gt;Swetismic temperaments&lt;/a&gt;&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:214:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc107"&gt;&lt;a name="Rank 3 temperaments--Swetismic temperaments"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:214 --&gt;&lt;a class="wiki_link" href="/Swetismic%20temperaments"&gt;Swetismic temperaments&lt;/a&gt;&lt;/h3&gt;
  These temper out the swetisma, 540/539.&lt;br /&gt;
  These temper out the swetisma, 540/539.&lt;br /&gt;
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&lt;!-- ws:start:WikiTextHeadingRule:216:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc108"&gt;&lt;a name="Rank 3 temperaments-Landscape family-Lehmerismic temperaments"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:216 --&gt;&lt;a class="wiki_link" href="/Lehmerismic%20temperaments"&gt;Lehmerismic temperaments&lt;/a&gt;&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:216:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc108"&gt;&lt;a name="Rank 3 temperaments--Lehmerismic temperaments"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:216 --&gt;&lt;a class="wiki_link" href="/Lehmerismic%20temperaments"&gt;Lehmerismic temperaments&lt;/a&gt;&lt;/h3&gt;
  These temper out the lehmerisma, 3025/3024.&lt;br /&gt;
  These temper out the lehmerisma, 3025/3024.&lt;br /&gt;
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&lt;!-- ws:start:WikiTextHeadingRule:218:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc109"&gt;&lt;a name="Rank 3 temperaments-Landscape family-Kalismic temperaments"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:218 --&gt;&lt;a class="wiki_link" href="/Kalismic%20temperaments"&gt;Kalismic temperaments&lt;/a&gt;&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:218:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc109"&gt;&lt;a name="Rank 3 temperaments--Kalismic temperaments"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:218 --&gt;&lt;a class="wiki_link" href="/Kalismic%20temperaments"&gt;Kalismic temperaments&lt;/a&gt;&lt;/h3&gt;
  These temper out the kalisma, 9801/9800.&lt;br /&gt;
  These temper out the kalisma, 9801/9800.&lt;br /&gt;
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